Exponential function in terms of logarithms

[dimensionless]

Homework Statement

Express b^{x} as a function of logarithms.

Homework Equations

There are a couple of equations in the attempted solution. I can't say if they are actually relevant

The Attempt at a Solution

I've investigated the property
y = log_{b}(b^{y}),
and also
log_{b}(y) = \frac{log_{k}(y)}{log_{k}(b)}

This hasn't help me any.

 

[dimensionless]

I got it. It's

b^{x} = e^{x ln(b)} = b + \frac{x ln(b)}{1!}+ \frac{(x ln(b))^{2}}{2!}+ \frac{(x ln(b))^{3}}{3!}+ \frac{(x ln(b))^{4}}{4!}+...

 

[GoldPheonix]

Never mind, my mistake.